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Finding the Fourth Proportional to 6,733.66, 9,292.38 and 3,749.46

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Solution

The fourth proportional to 6,733.66, 9,292.38 and 3,749.46 is: 5,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.66 : 9,292.38 = 3,749.46 : x
  2. Step 2: Convert to fraction form
    6,733.66/9,292.38 = 3,749.46/x
  3. Step 3: Cross multiply
    6,733.66x = 9,292.38 × 3,749.46
  4. Step 4: Simplify right side
    6,733.66x = 34,841,407.11
  5. Step 5: Solve for x
    x = 34,841,407.11/6,733.66
  6. Step 6: Final answer
    x = 5,174.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.